{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0317a284-4266-488c-b006-641c625974e5",
   "metadata": {},
   "source": [
    "# 作业\n",
    "## 1. 调研梯度下降， 写一个不超过300字的总结\n",
    "## 2. 请实现一个不少于200点的直线数据，在上面增加高斯噪声。请用LinearRegression来拟合，给出对后的结果。请分析不同的噪声变化对拟合的结果的影响 。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2eedd520-cb39-4af7-8a3e-90b232365c16",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "43749014-ca6c-41fa-bfae-2125f319ddd7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "1bac1290-b53d-4b61-a279-dd5c2e7d474c",
   "metadata": {},
   "source": [
    "## 总结\n",
    "梯度下降（Gradient Descent）是一种用于寻找函数局部最小值的迭代优化算法。可以用于求解最小二乘问题(线性和非线性都可以)。在机器学习和深度学习中，它常用于优化损失函数，即通过调整模型的参数来最小化损失函数的值，从而提高模型的性能。它的基本思想是：\n",
    "* 已知损失函数 L(f(xi,θ),yi)  则其梯度(对θ的偏导)为∇θ\n",
    "* 对梯度求平均g = <∇θ>\n",
    "* 随机初始化模型的参数\n",
    "* 计算梯度∇θ  (1)\n",
    "* 更新参数：θ_new = θ_old - ηg  η为学习率，控制步长大小的超参数  (2)\n",
    "* 迭代:重复(1) (2) 步骤，直到满足某个停止条件，比如梯度足够小、达到预设的迭代次数或者损失函数的值不再显著下降。\n",
    "* 需要注意的是学习率η过大可能导致震荡或发散，过小则收敛速度慢迭代次数需要足够多，以确保算法能够收敛到一个解。如果迭代次数太少，可能无法达到收敛条件。对于更复杂的问题，可能需要更多的迭代次数来达到相同的准确度。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "5fc91620-b97c-40c3-b4d1-e5d13217be54",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "测试集的均方误差（MSE）: 0.76\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "# 设置随机种子以确保结果的可重复性\n",
    "np.random.seed(0)\n",
    "\n",
    "# 生成200个线性数据点\n",
    "m = 2  # 斜率\n",
    "b = 1  # 截距\n",
    "x = np.linspace(0, 10, 200)  # x值从0到10\n",
    "y = m * x + b + np.random.normal(0, 1, 200)  # y值，添加标准差为1的高斯噪声\n",
    "\n",
    "# 将数据分为训练集和测试集（70%训练，30%测试）\n",
    "x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=0.3, random_state=42)\n",
    "\n",
    "# 创建线性回归模型\n",
    "model = LinearRegression()\n",
    "\n",
    "# 在训练集上拟合模型\n",
    "model.fit(x_train.reshape(-1, 1), y_train)\n",
    "\n",
    "# 在测试集上进行预测\n",
    "y_pred = model.predict(x_test.reshape(-1, 1))\n",
    "\n",
    "# 计算测试集的均方误差（MSE）\n",
    "mse = mean_squared_error(y_test, y_pred)\n",
    "print(f\"测试集的均方误差（MSE）: {mse:.2f}\")\n",
    "\n",
    "# 绘制结果\n",
    "plt.scatter(x_train, y_train, label='训练数据')\n",
    "plt.scatter(x_test, y_test, label='测试数据')\n",
    "plt.plot(x, m * x + b, label='真实直线', color='red')\n",
    "plt.plot(x, model.predict(x.reshape(-1, 1)), label='拟合直线', color='blue')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "dd4e03a6-c4f4-49ec-960f-6583ad55c71c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "噪声水平: 0.1, 测试集的均方误差（MSE）: 0.01\n",
      "噪声水平: 0.5, 测试集的均方误差（MSE）: 0.27\n",
      "噪声水平: 1, 测试集的均方误差（MSE）: 0.85\n",
      "噪声水平: 2, 测试集的均方误差（MSE）: 4.65\n",
      "噪声水平: 5, 测试集的均方误差（MSE）: 17.03\n"
     ]
    },
    {
     "data": {
      "image/png": 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z/z+TkpKgVquxZ8+eXK9drVo1/Pzzz7lGV2k0Gv1ouBynTp3K9VlZWFigS5cuOHz4MFasWIFx48bh9ddf13cKz6nj+PHj+Pfff3H06NE86/Xw8MCwYcNw+PBh9OnTB6NGjcL333+f78g5otLAv31E+dBqtfj444/1v52fPHky18ijHDKZDLt374a3tzd69+6Ne/fu5Tom58vF2tpa/0VtaWlZ4NDnX3/9Fd999x2AZ3OvPHz4EE+ePMGTJ09w8OBBuLm5Ydu2bfp9T5480d+WKar8QsO8efMQEBAADw8Pg/2rVq3Cjh07sHv37jzP6969O/z9/XM9hgwZAuDZCCR/f3+0a9dO/1yLFi30zz+vf//+EIlEiIqK0rd8TJs2DREREblGFT1v1KhR2L59Oxo3bgxfX198+eWXBrfunjx5gi5duugnJYyMjMz1PuvUqQNLS0u8++67+pFEL86jZGFhAWtra4hEIsTFxRm0gjx69Ag9e/ZEREQEXn/9dUyfPh0BAQGIiorCokWLIJVK83w8P8rus88+Q7Vq1WBrawsrKyuDR2pqKnr37p1rv52dHfr06WPwXvz9/RETE6N/PN/XqFOnTqhbty6WLFkC4Fln6BdD8Pnz57Fnz55cc0Hdv38fe/fuRXBwMPr164elS5di5cqVEIvFOHv2bJEndyR6VQw8RPmwsLBA1apVsXLlSvz6668FjsiysbHBn3/+idWrV+d5qyO/H/R53a54Xr9+/TBlyhRotVqcPn0aVlZWqFSpEpydnWFnZ4eHDx+ifv36qFy5MqpVqwZnZ2fUqFHD4BpPnjwBALRv317/xZzTOuTh4aHfV79+/Xxr/eGHH3D+/Hl8+eWXuZ5r2rQpZs2ahcGDB+fq/wE86zybkZGBlJQUg8fp06cBPBuq/fx+hUIBpVKJixcvGlxHEARMmjQJPXr0QEJCgr6Pi7u7O7788kt9y1detmzZgkuXLqFt27a5nktMTESHDh3QsGFDjBgxAlevXs3VwvM8uVyODz/8EGlpaXk+clqNXvw7c+/ePRw+fBhSqRR79uxBUlISWrRogZo1a8LKygrNmjVDVlaWwaNNmzYG11mwYAEUCgW0Wi0EQUB0dDRq1KiB5cuXw8HBAbt370adOnWwZMkSCIIAnU6H1NRU/Prrr7neg6urq/7xYmvRqFGjsHPnTiiVSmRlZek7DefQarW4cuUKOnfubPDYvHkzsrKy4O/vj7i4OIwZMwbAs07n7dq1w5EjR/TXiIqKwo4dO3Dz5k0GISpxvKVF9BLTp08v1PFVq1bNNZ9KjuzsbADQh4ocOcO/8/J8GMrOzka7du30+0aMGIHU1FTs27cP9erVQ/fu3fMMI8CziQqrV6+OW7duvbT+W7duwcfHJ1cIO3r0KKZNm4Y5c+bog9KL5s+fjzt37qBz5874/PPPMX36dIM+MMXh22+/xZUrV3D16lVcunQJ3bp1Q/fu3eHn5/fSoe4Acs3rkyMxMRG///47OnbsiN27d0Mul2PhwoUAnk3auGrVqlznWFhYQCqVwtbWNs9r5gSUF2/htGzZEhEREahXr16ugCEWiyESiXJ9ZmKx2OA6Dg4O+j///fffGD58ODp16oSPPvoI8+bNg0wmw8aNG9GlSxc8efIEX3zxRb7TFbzM0KFD0aNHD8jlcmRkZOS6xscff4zAwEC4uLhg69atGDduHNLT0/HgwQN9X7WcVqEjR46gX79+mD9/vn5UoFqtxpMnT3Dy5EnExMTkuh0qkUj0HdGfn7CQqKjYwkNUBEX5bdTV1dXgFkLO4+rVq/mek9NZ1M/Pz2D6/z/++AN79+7V3+r65ptvsHLlynz7VBw8eBCtWrXS30rL7+Hl5YUtW7YYtBAFBQWha9eu6NixI+bOnZtvrSKRCFu3bsWHH36o78T84pIFr2LJkiX47LPPsGPHDlStWhWdO3dGz5499bddikKtViMmJgZt27bFnj17IJfL8cUXX2Dnzp1YsmQJ1q9fj+3bt+c6L79bfgURi8WoV68eHj16hBMnTmDNmjWYPHmyfsSaTqdDenq6wePFEVYajQbHjh1Dt27d0LVrV0yYMAEbN240OKZ169Y4cuQI9u3bB1dXV0yePBlHjhwxGL2nVCoNlhR58XVcXFzw2muvAXjWb+jFwHPq1Cl4enoazMMUExODBg0a4I8//tDvW716NQICArBgwQKDUKpSqfDmm29izZo1+OGHH/Dee+8Z1PfkyRNoNBpoNBquqUXFgi08REWgUqmg0WgKdY6FhYVBP4m8vPilExgYiEaNGkEmk+lDyE8//YSPPvoIu3fvRq1atSAIAurWrYvVq1ejR48emDFjBiZPnqzvoBocHIy//vpLP4T9Zezt7fUj0HL4+Phg8ODB+PHHH3O1SrzYEiQWi7Fs2TK8/fbbePToERo3bvzS18sJjgWtQbVhwwbMmjUL27dvN+jo++OPPxq0sjx48ACPHz/GtWvXcq3nlCM+Pl4fWKRSKU6ePAlHR0dkZ2dj1KhR2LFjB4KCgjBkyBAkJCRg4sSJaN++PapXr66/hiAIWLp0KZYuXfrSul/8/zl16lSsWLECOp0O9vb2eP311+Hl5QUHBwfodDpcunQJdnZ2ua7TsWNH/Z+XL1+OTz75BO+//z4iIiIMWj+0Wq0+JL/55puIiIjA+vXrsWrVKty8eVN/Ha1Wi+DgYLi5ub203hxXr141aIk8ePAgBg8ejO+//x516tTBwYMHIZVK4ebmhu+++w6hoaHw9vbGhAkTcO7cOfz222+5likZPny4vtY2bdoAAM6dO5fn60dERCAmJgYZGRlGLfdBlCeBiAqtbdu2Qr9+/Qo8zt/fXxg2bFiBx+3du1fo27evYGNjIwwcODDPY1JTU4X27dsLVlZWwr59+wRBEAStVisAEG7evCkIgiD88ccfgrOzs1CjRg0hISFBiIqKEtzc3IQ2bdoY/+aMsH79emH48OECAOG3334r8nXOnTsnABDCwsJeepxGoxHOnj1b4PXmz58vABDc3d2F8+fP57qGv7+/AED45JNPDJ5btWqVULVqVaFy5crCgQMH9PvT09OF2rVrC4cPHzY4vlu3bsLkyZOFrKysPB+HDx8WAAhPnjwxOO/WrVvCvn37hJiYmFy1L1iwQPDx8cm1v127dsLs2bP121lZWcLt27fzfP8SiUT45Zdf8nwuPT1d/+dZs2YJ7dq1M3i+du3awtq1a/XbZ86cEYYPHy507NhRsLCwENavX69/LiQkRP85zZ49WwAg9OrVS//87t27BZlMJrRt21aIiorKs568fPHFF3l+BkFBQUKdOnWEYcOGCYmJiUZfj+h5DDxEJahu3bpGBZ5z584JUqlUaNSokXD8+PF8jzt27JgQEhKi387MzBQACFevXtXve/r0qXDy5ElBEAQhIyNDmD59er5fkEW1e/duoVWrVsKyZcsErVZb5Ov8888/AgCjwowxUlNT8wwTOY4dO5ZnuNq5c6cwevRoISEhIddzaWlpufa9++67wrRp016t2BckJSW9tPbidPHiReHIkSMG+0JDQ4VHjx7ptxUKhfD2228LH374of7vU17u3r0rBAcHG+zLysp6pSBMVBJEglBAWzIRlTjh2S8fnKeEiKiEMPAQERGR2eOvk0RERGT2GHiIiIjI7DHwEBERkdnjhAb/0el0ePToEezs7Io8qRgRERGVLkEQkJaWhho1arx04AcDz38ePXqUaxIuIiIiKh9eXAT3RQw8/8mZ3TQmJqZI684QERFR6VMoFHBzc8tzlvLnMfD8J+c2lr29PQMPERFROVNQdxSTd1pOTEyEh4cHoqOjATxbqFAkEuV6BAUFFXitgIAAg3PyW0uHiIiIKhaTtvAkJCQgICBAH3YAYODAgejZs6d+Oz09HU2bNkXbtm0LvN6FCxdw9epV/T08qVRa3CUTERFROWTSwNO/f3/0798fwcHB+n0ymQwymUy/vWrVKvTu3Ruenp4vvdbDhw8hCAIaNWpUYvUSERFR+WTSW1rr1q3DRx99lO/z2dnZWLFiBWbNmlXgtUJCQqDVauHq6gobGxv0798fycnJ+R6vVCqhUCgMHkRERGSeTBp4Cmq12b59O/z9/eHu7l7gtW7dugUfHx8cPnwYYWFhiI6OxuzZs/M9ftGiRXBwcNA/OCSdiIjIfJWJxUNFIhGioqJyBRs/Pz/Mnz8fXbp0KfQ1T506hT59+iA+Pj7P55VKJZRKpX47Z1hbamoqR2kRERGVEwqFAg4ODgV+f5fZYel37tzBnTt3ijzSytHREQkJCVAqlZDL5bmel8vlee4nIiIi82PyYen5+e2339CtWzejR1r16dPHoPNzaGgoqlWrxlBDREREZTfwHDp0CO3bt8+1X6FQQK1W59rv7e2NKVOm4Pz58/jrr78wd+5cTJgwoTRKJSIionxodQLO3U3EvsuxOHc3EVqdaXrSlMlbWllZWTh//jzWrVuX6zlvb28sX77cYK4eAJg1axbu37+Pd999F1WqVMH48eONGt1FREREJeNQxGPM//M6Hqdm6/dVd7DEvIAG6NyoeqnWUiY6LZcFxnZ6IiIiooIdiniM8Vsv4sWQkbMAxOrBzYol9Bj7/V1mb2kRERFR+aTVCZj/5/VcYQeAft/8P6+X6u0tBh4iIiIqViFRSQa3sV4kAHicmo2QqKRSq4mBh4iIiIrV07T8w05RjisODDxERERUrKrYWRbrccWBgYeIiIiKlU/tSrCWWeT7vAjPRmv5eTiVWk0MPERERFRsstVafLTjEjJV2jyfzxmlNS+gASzEojyPKQkMPERERFQsUjJVGPzTeRyMeAKZhRgjW3uguoPhbatqDpbFNiS9MMrkxINERERUvsQkZWL4zyG4G58BO0sJ1g1pjjdfc8bs9+ojJCoJT9OyUcXu2W2s0mzZycHAQ0RERK8kIjYVgUGhiE9TorqDJYIC/VC3mh0AwEIswpuvOZu4QgYeIiIiegX/3IrH+K0XkKHSol41O/wc6IvqDlamLisXBh4iIiIqkl0XHmLm7ivQ6AS0fM0Za4b4wN5Sauqy8sTAQ0RERIUiCAJWHr+DpUdvAQB6NKmBb/s0hkxSdsdCMfAQERGR0TRaHebuu4ZfQh4AAMa1ew0zOtWF2AQdkQuDgYeIiIiMkqnSYNL2S/j7xlOIRMD87g0x9E13U5dlFAYeIiIiKlBCuhIjN4UhPCYFcokYK/o3RedG1UxdltEYeIiIiOilohMyMOznENxPzISjtRQbhjWHT+3SWxaiODDwEBERUb4uPUjGyE1hSMpQwc3JCkGBfnitsq2pyyo0Bh4iIiLK07HrcfjfLxeRrdbhjZoO2DC8eamucF6cGHiIiIgol23n72Pu3gjoBKDd65WxalAz2MjLb2wov5UTERFRsRMEAUuP3MLKE3cAAH2bu2JBrzcgtSi7c+wYg4GHiIiIAAAqjQ4zf7+C3y/GAgAmd6iDj96pA5GobM+xYwwGHiIiIkJathoTtl3E6dsJsBCLsLBXI/TzrWXqsooNAw8REVEFF6fIRuDPobj+WAErqQVWDWqG9vWqmLqsYsXAQ0REVIHdeZqGYRtDEZuSBRdbGTYO94W3q6Opyyp2DDxEREQVVGh0EkZtCkNqlhoeLjbYFOiHWs7Wpi6rRDDwEBERVUAHrj7G5F8vQ6XRoVktR/w0zBdONjJTl1ViGHiIiIgqmA1novDV/usQBKBjg6pY0b8prGQWpi6rRDHwEBERVRA6nYCFByLx05koAMAQ/9r4vHtDWIjL/7DzgjDwEBERVQBKjRbTfgvHX1ceAwA+6VwP49p5msUcO8Zg4CEiIjJzqZlqjNkShvNRSZBaiPBtn8bo2bSmqcsqVQw8REREZiw2JQuBP4fgVlw67OQSrBnig1ZeLqYuq9Qx8BAREZmp648UCAwKQZxCiar2cgQF+qF+dXtTl2USDDxERERm6N87CRi75QLSlRrUqWKLoBF+qOloZeqyTIaBh4iIyMzsvRSLj3eFQ60V0MLDCeuGNIeDtdTUZZkUAw8REZGZEAQBq0/dxTeHbgIAunlXx9K+jSGXmPccO8Zg4CEiIjIDWp2Az/+4hi3B9wEAo9t4YFaX+hBXgDl2jMHAQ0REVM5lqbT4cMclHL0eB5EImNu1AUa09jB1WWUKAw8REVE5lpShwshNobj0IAUyiRjL+zXBe29UN3VZZQ4DDxERUTn1IDETw34OQVRCBhyspFg/tDn8PJxMXVaZJDZ1AYmJifDw8EB0dLR+36RJkyASifQPLy8vo6516tQp1K9fHy4uLli2bFkJVUxERGR6Vx6moPfqfxGVkIGajlbYPf5Nhp2XMGngSUhIQLdu3QzCDgBcuHAB+/fvR3JyMpKTk3Hp0qUCrxUfH4/u3btjwIABOHfuHLZt24YTJ06UUOVERESmc+LGU/RfF4yEdBUaVLfHngkt4VXFztRllWkmDTz9+/dH//79DfZpNBpERESgbdu2cHR0hKOjI+zsCv6fuG3bNlSvXh1z585FnTp18Nlnn2HDhg35Hq9UKqFQKAweREREZd2voQ8wanMYMlVatKnjgl/H+qOKvaWpyyrzTBp41q1bh48++shg35UrVyAIApo0aQIrKyt07twZDx48KPBa4eHhePvtt/Wrvvr5+eHixYv5Hr9o0SI4ODjoH25ubq/2ZoiIiEqQIAj47ugtfLL7KrQ6Ab2b1cTG4b6ws6zYEwoay6SBx9PTM9e+yMhINGzYEL/88guuX78OqVSKsWPHFngthUIBD4//H4Jnb2+P2NjYfI+fNWsWUlNT9Y+YmJiivQkiIqISptbq8MnuK1jx920AwKS3vbD0g8aQWpi8K265UeZGaQ0aNAiDBg3Sb69cuRKenp5QKBSwt89/wTOJRAK5XK7ftrS0RGZmZr7Hy+Vyg+OJiIjKogylBhO2XcSpW/EQi4AvezbCoBa1TV1WuVPmAs+LHB0dodPp8Pjx45cGHicnJ8THx+u309LSIJPJSqNEIiKiEhGfpsSIoFBcjU2FpVSMlQOaoUODqqYuq1wqc21hU6dOxW+//abfDg0NhVgsLrCPja+vL4KDg/Xbly9fRs2aNUusTiIiopJ0Nz4dvVf/i6uxqXCykWHHmDcZdl5BmWvhadKkCT799FNUq1YNGo0GkyZNwvDhw2FtbQ3gWV8dKysrSKWGnbS6d++OiRMn4sSJE2jTpg2WLFmCTp06meItEBERvZIL95MwclMYUjLVqO1sjU2BfnB3sTF1WeVamQs8Q4cORWRkJHr06AE7Ozv06tULCxcu1D/v7e2N5cuXo2fPngbnubi4YOnSpejUqRMcHBxgY2Pz0mHpREREZdGhiCf4aMclKDU6NHZzxIZhzeFiyz6nr0okCIJg6iKK0507dxAZGYl27dq9tM/PixQKBRwcHJCamlqo84iIiIrL5nPRmPfHNQgC8E69KvhhYFNYy8pc20SZYuz3t9l9il5eXkYvRUFERFQW6HQCvjl8E2tO3QUADGxRC190bwgJh50XG7MLPEREROWJUqPFjF1XsO/yIwDA9I6vY2J7L/1EulQ8GHiIiIhMRJGtxtjNF3DuXiIkYhEWv++NPj6upi7LLDHwEBERmcDj1CwE/hyKG0/SYCOzwOrBPmj7emVTl2W2GHiIiIhK2c0naRj+cwgep2ajsp0cQYG+aFjDwdRlmTUGHiIiolJ07m4ixmwJQ1q2Bq9VtsGmEX5wrWRt6rLMHgMPERFRKfkj/BGm/xYOlVYHX/dKWD+0ORytuQxSaWDgISIiKmGCIGD96XtYeOAGAKBLo2r4rl8TWEotTFxZxcHAQ0REVIK0OgFf/nUdQWejAQCBrdwxp2sDWIg57Lw0MfAQERGVkGy1FlN+vYyDEU8AAHO61seoNp4mrqpiYuAhIiIqASmZKozaFIaw+8mQWYixtG9jBDSuYeqyKiwGHiIiomIWk5SJ4T+H4G58BuwsJVg3pDnefM3Z1GVVaAw8RERExSgiNhWBQaGIT1OiuoMlNo3ww+tV7UxdVoXHwENERFRMTt2Kx4StF5Ch0qJeNTsEBfqhmoOlqcsiMPAQEREVi51hMZj1+1VodAJaeTlj9WAf2FtKTV0W/YeBh4iI6BUIgoCVx+9g6dFbAICeTWrgmz6NIZOITVwZPY+Bh4iIqIg0Wh3m7ruGX0IeAADGv/UaPu5YF2LOsVPmMPAQEREVQaZKg/9tv4TjN55CJALmd2+IoW+6m7osygcDDxERUSElpCsxMigU4Q9TIZeI8f2ApujUsJqpy6KXYOAhIiIqhOiEDAz7OQT3EzNRyVqKn4b5wqd2JVOXRQVg4CEiIjLSpQfJGLkpDEkZKrg5WWFToB88K9uauiwyAgMPERGREY5ej8OkXy4iW63DGzUdsHG4LyrbyU1dFhmJgYeIiKgAW4Pv47N9EdAJwFt1K+PHgc1gI+dXaHnC/1tERET5EAQBS47cxI8n7gIA+jV3w1e9GkFqwTl2yhsGHiIiojyoNDrM/P0Kfr8YCwCY3KEOPnqnDkQizrFTHjHwEBERvSAtW40J2y7i9O0EWIhFWNTrDfT1dTN1WfQKGHiIiIieE6fIRuDPobj+WAFrmQV+HNQM7etWMXVZ9IoYeIiIiP5zOy4Nw38ORWxKFlxsZdg43Bfero6mLouKAQMPERERgJCoJIzaFApFtgaeLjYICvRDLWdrU5dFxYSBh4iIKrwDVx9j8q+XodLo0KyWI34a5gsnG5mpy6JixMBDREQV2oYzUfhq/3UIAtCxQVV8P6ApLKUWpi6LihkDDxERVUg6nYCFByLx05koAMDQN2tjXkBDWIg57NwcMfAQEVGFk63WYtrOcOy/8hgA8EnnehjXzpNz7JgxBh4iIqpQUjPVGL0lDCFRSZBaiPBtn8bo2bSmqcuiEsbAQ0REFUZsShaGbwzB7afpsJNLsHaID1p6uZi6LCoFDDxERFQhXH+kQGBQCOIUSlSzt8TPgb6oX93e1GVRKWHgISIis/fvnQSM3XIB6UoNXq9qi6BAP9RwtDJ1WVSKTL7ca2JiIjw8PBAdHa3ft2/fPnh6ekIikaBFixaIjIw06loBAQEQiUT6R4cOHUqoaiIiKi/2XHqIYRtDkK7UoIWHE3aOa8mwUwGZNPAkJCSgW7duBmHn7t27CAwMxOLFixEbG4vatWtj1KhRRl3vwoULuHr1KpKTk5GcnIx9+/aVUOVERFTWCYKAVSfvYMqv4dDoBAQ0roHNI/3gYCU1dWlkAia9pdW/f3/0798fwcHB+n2RkZFYuHAh+vbtCwAYP348OnfuXOC1Hj58CEEQ0KhRoxKrl4iIygetTsC8PyKwNfgBAGBMW0/M7FwPYs6xU2GZNPCsW7cOnp6emDx5sn5ft27dDI65efMmvLy8CrxWSEgItFotXF1dkZycjICAAKxevRqVKlUq7rKJiKgMy1Jp8eGOSzh6PQ4iEfBZtwYIbOVh6rLIxEx6S8vT0/Olz6tUKixZsgQTJkwo8Fq3bt2Cj48PDh8+jLCwMERHR2P27Nn5Hq9UKqFQKAweRERUviVlqDDwp2AcvR4HmUSMVQObMewQAEAkCIJg8iJEIkRFRcHd3d1g/4wZM3DkyBGEhoZCKi3cPddTp06hT58+iI+Pz/P5zz//HPPnz8+1PzU1Ffb2HKZIRFTe3E/MwPCfQxGVkAEHKyl+GtYcvu5Opi6LSphCoYCDg0OB398mH6WVn6NHj2LNmjXYvn17ocMOADg6OiIhIQFKpTLP52fNmoXU1FT9IyYm5lVLJiIiEwmPScH7q88iKiEDNR2tsHv8mww7ZKBMBp579+5h0KBBWL16NRo0aGDUOX369DHo/BwaGopq1apBLpfnebxcLoe9vb3Bg4iIyp8TN56i/7pgJKSr0LCGPfZMaAmvKnamLovKmDIXeLKystCtWzf07NkTPXr0QHp6OtLT05Fz502hUECtVuc6z9vbG1OmTMH58+fx119/Ye7cuUb1/SEiovLr19AHGLU5DFlqLdrUccGvY99EFXtLU5dFZVCZCzyHDx9GZGQk1q9fDzs7O/3j/v37AJ4Fm/379+c6b9asWWjQoAHeffddTJ48GePHj8esWbNKu3wiIioFgiBg2dFb+GT3VWh1At5v5oqNw31hK+cCApS3MtFpuSwwttMTERGZllqrw+zfr2LnhYcAgElve2Hqu69DJOIcOxWRsd/fjMJERFRuZCg1mLDtIk7diodYBHzV8w0MbFHL1GVROcDAQ0RE5cLTtGyMCApFRKwCVlILrBzYFO/Ur2rqsqicYOAhIqIy7258OoZtDMHD5Cw428iwYbgvmrg5mrosKkdeKfBkZWXByoorzhIRUcm5cD8JIzeFISVTDXdnawQF+sHdxcbUZVE5U+hRWrdv38bo0aPh4eGB5s2bw8vLC02aNMG3336LrKyskqiRiIgqqEMRTzBw/XmkZKrR2M0Ru8e3ZNihIilU4AkKCkKvXr3QpUsX3L59G9euXcOdO3dw4MABxMfHw9fXF9evXy+pWomIqALZdDYa47ddgFKjQ4f6VfDL6BZwts17Mlmighh9S2vNmjX47bff8O+//8LBwcHguRo1auCbb75Bx44dERAQgOPHj6N27drFXiwREZk/nU7A14dvYO2pewCAgS1q4YvuDSGxKHNTx1E5YnTgefDgAfbu3fvSMe4dOnTAd999h7i4OAYeIiIqNKVGixm7rmDf5UcAgI871cWEt17jHDv0yjjx4H848SARkWmlZqkxbssFnLuXCIlYhK/f98b7Pq6mLovKOE48SERE5cbj1CwM3xiKm3FpsJFZYPVgH7R9vbKpyyIzUqgbot27dzcYibVt2zZkZmbqtxUKBWQyWfFVR0REZu/mkzT0XnUWN+PSUMVOjt/GvcmwQ8WuUIFn//79BiuVT5o0CQkJCfptQRCg0WiKrzoiIjJrZ+8moM+as3icmg2vKrb4fUJLNKzhUPCJRIVUqFtaL3b3yav7DzuWERGRMf4If4Tpv4VDpdXBz90J64b6wNGadwmoZBQq8IhEIoNA8+I2ERFRQQRBwPrT97DwwA0AwHtvVMOyvk1gKbUwcWVkzgrdwjNw4EBIpVIAQHp6OkaPHg1ra2sAgEqlKv4KiYjIbGh1Ar786zqCzkYDAAJbuWNu1wYQi/nLM5WsQgWeefPmGWw3btw41zG+vr6vVhEREZmlbLUWk3dcxqFrTwAAc7rWx6g2niauiiqKYpmHR61WIzs7G3Z2dsVRk0lwHh4iopKTnKHC6M1hCLufDJmFGMv6NUY37xqmLovMgLHf34UapZWWloZp06bhf//7n37fypUr4ejoCEdHR7Ru3RoPHjwoetVERGR2YpIy8f6aswi7nwx7Swk2j/Rj2KFSV6jAM2LECJw7dw49evQAABw4cABTp07FqlWrEB0djbp162LChAklUigREZU/EbGp6L36LO7FZ6CGgyV2jW8Jf09nU5dFFVChbmlVqlQJly5dgru7OwDA29sbb7/9NpYvXw4AiImJwRtvvIGUlJQSKLVk8ZYWEVHxOnUrHhO2XkCGSot61ewQFOiHag6Wpi6LzEyJLC1RrVo13Lx5E+7u7tiwYQPu3LmDY8eO6Z+/ceMGHB0di1w0ERGZh51hMZj5+1VodQJaeTlj9WAf2FtKTV0WVWCFCjxLlixBv379UK1aNdy9exffffcdqlSpgocPH+Kzzz7D7t27MX/+/JKqlYiIyjhBEPDD8TtYdvQWAKBX05r4+n1vyCSF6kFBVOwKFXi6du2Ka9eu4fz58/Dy8oK3tzcAQKvVwt7eHjt27ECXLl1KpFAiIirbNFod5u6LwC8hMQCA8W+9hhmd6nKCWioTCtWH559//jHquLZt2xa5IFNhHx4ioqLLVGnwv+2XcPzGU4hFwPzuDTHkTXdTl0UVQIn04XnrrbcgEolgYWEBV1dXg+dycpNIJMK9e/eKUDIREZVHCelKjAwKRfjDVMglYvwwoCk6Nqxm6rKIDBQq8EyfPh3Xr1/HtWvXoFKp0KhRI3h7e8Pb2xuNGzdG/fr1IZEU6pJERFSORSVkYNjGEDxIykQlayl+GuYLn9qVTF0WUS5Fnmk5PT0d165dw6VLl7B7924cP34cUqkUdevWRXh4eHHXWeJ4S4uIqHAuPUjGyE1hSMpQwc3JCpsC/eBZ2dbUZVEFUyK3tHJad55/pKSkoH79+vjwww/1LT1ERGTejl6Pw6RfLiJbrYO3qwM2DPNFZTu5qcsiylehAk+jRo30fXiaN2+ONm3aoEaNZ9ODi0QixMTEICYmBs2aNSuRYomIyPS2Bt/HZ/sioBOA9nUrY+XAZrCRszsDlW2F+hs6dOhQg+GFKpUK0dHRBsdw+CERkXkSBAFLjtzEjyfuAgD6NXfDgl6NILHgHDtU9hUq8AQFBZVQGUREVJapNDrM3H0Fv1+KBQBM6fA6PnzHi7/kUrlhdCyPjIw06rj4+HhkZ2cXuSAiIipb0rLVGBEUit8vxcJCLMI3fbzxUYc6DDtUrhgdeKZMmYIffvjhpcekp6ejS5cuOHLkyCsXRkREphenyEbftcE4cycB1jILbBjWHH2bu5m6LKJCMzrw7N69G3/88QemT58OtVqd6/mIiAi0bNkSH3zwAbp3716sRRIRUem7HZeG3qvOIvKxAi62cvw65k28VbeKqcsiKhKj+/DY2NjgyJEjWLhwIRo1aoR33nkHnp6eSE9Px7lz5/Do0SMsW7YM7777bknWS0REpSAkKgmjNoVCka2Bp4sNNo3wg5uTtanLIiqyIk08mJWVhVOnTuH+/fuws7NDvXr1yv1QdE48SET0zP4rjzHl18tQaXXwqV0JPw1tjko2MlOXRZSnEpl4MIeVlRU6d+5c5OKIiKhs2nAmCl/tvw5BADo1rIoV/ZvCUmph6rKIXhlniiIiIuh0AhYciMSGM1EAgGFv1sZnAQ1hIeZILDIPDDxERBVctlqLaTvDsf/KYwDAzC71MLatJ4edk1kx+fSYiYmJ8PDwMJixOSIiAr6+vqhUqRI+/vhjGNvN6NSpU6hfvz5cXFywbNmyEqqYiMh8pGaqMXRjCPZfeQyphQgr+jfBuHavMeyQ2TFp4ElISEC3bt0Mwo5SqURAQAB8fHwQFhaG69evGzXDc3x8PLp3744BAwbg3Llz2LZtG06cOFFyxRMRlXOxKVl4f81ZhEQlwU4uwaZAP/RoUtPUZRGVCJMGnv79+6N///4G+w4ePIjU1FQsW7YMr732GhYuXIgNGzYUeK1t27ahevXqmDt3LurUqYPPPvvMqPOIiCqi648U6PXjv7jzNB3V7C2xc/ybaOnlYuqyiEqMSQPPunXr8NFHHxnsCw8Ph7+/P6ytn8334O3tjevXrxd4rfDwcLz99tv6Zlg/Pz9cvHgx3+OVSiUUCoXBg4ioIjhzOwF9157D0zQlXq9qi98ntES9apyOg8ybSQOPp6dnrn0KhQIeHh76bZFIBAsLCyQnJ7/0Wi+eZ29vj9jY2HyPX7RoERwcHPQPNzdOlU5E5m/PpYcY/nMI0pUa+Hs6Yee4lqjhaGXqsohK3CsFHkEQEBwcXFy1AAAkEgnkcrnBPktLS2RmZhbqvILOmTVrFlJTU/WPmJiYVyuciKgMEwQBP564gym/hkOjExDQuAY2jfCDg5XU1KURlYpCBR61Wo0uXboAAGJjY6HT6dC3b1+DY3Q63SvNVOzk5IT4+HiDfWlpaZDJXj7L54vnFXSOXC6Hvb29wYOIyBxpdQLm7ovAt4dvAgDGtvXEin5NIJdwQkGqOAoVeKRSKSIjI6FUKtGiRQtYWFjAwuLZP5icBUPFYrF+X1H4+voatBpFR0dDqVTCycmpUOddvnwZNWtytAERVWxZKi3GbrmArcEPIBIBnwc0wKz36kPMCQWpgjE68Dx48ODZCWIxZDKZPtTkdBJ+voOwVFr0JtK2bdsiNTUVmzdvBgAsXrwYHTp00L+eQqHIc7X27t2748yZMzhx4gQ0Gg2WLFmCTp06FbkOIqLyLilDhYE/BeNYZBxkEjFWDWyG4a08Cj6RyAwZNdOyTqdD69at0aZNGwD/35H4eVZWxdPpTSKRYN26dRg4cCA+/vhjaLVanDp1Sv+8t7c3li9fjp49exqc5+LigqVLl6JTp05wcHCAjY0Nh6UTUYV1PzEDw38ORVRCBhyspNgwrDmau7+8pZzInBkVeMRiMcLCwrBu3TqcO3cuz2MyMzMxdOhQCIKQZwvMy7w4k3LPnj1x+/ZthIWFoWXLlqhcubL+uecnKXzRhAkT0LFjR0RGRqJdu3bsl0NEFVJ4TApGbgpFQroKNR2tsGmEH7yq2Jq6LCKTMnotrSpVqmDOnDlYvXo1EhIScj1vYWEBHx8fCIKAAwcOvHJhNWvWLFIfHC8vL3h5eb3y6xMRlUfHb8Rh4rZLyFJr0bCGPX4O9EUVO0tTl0VkcoVePDQ+Ph61a9cGAMyfP1+/XyQS6ScRXLhwYTGVR0RExtoR8gCf7o2AVieg7euVsWpQM9jKuUY0EVCITsurV69G586d4erqiuTkZNjY2CAmJgaPHj3C+vXrkZqaWpJ1EhFRPgRBwLKjtzDz96vQ6gT08XHFhmHNGXaInmN04Llx4wZmzZoFAJDJZLC1tcVPP/0Ee3t7bNu2DU2bNoVOpwMAaDSakqmWiIgMqLU6zNh1Bd//fRsA8OHbXvi2jzekFiadSJ+ozDH6X8SKFSvQrl07/bZWqwUA2Nra4vjx46hVqxZ69+4NlUqV55IRRERUvNKVGozcFIadFx7CQizCot5vYGrHuvrpQojo/xXqVwCtVgulUgmtVouOHTsCeDZkXSwWIygoCCqVChMnTkRYWFiJFEtERM88TctG/3Xn8M+teFhJLbB+qA8G+NUydVlEZVah2zy//PJLWFhYYP369VCr1VCpVACedVresmUL/vzzT/z777/FXigRET1zNz4dvVedRUSsAs42MuwY44+361U1dVlEZZpIeHESnELKaeHJ8eDBA9SqVf5+y1AoFHBwcEBqairn7yGiMissOgmjNochJVMNd2drbBrhh9rONqYui8hkjP3+fuVebWKxGMuWLdNv29vb4/bt2696WSIiesGhiCcY9NN5pGSq0cTNEbvHt2TYITLSKwWe9957D4DhvDv79+/XLyRKRETFY9PZaIzfdgFKjQ4d6lfBL6P94WwrN3VZROWG0ZM0yGQyODg4QBAE1KpVCxcvXsT9+/cBAHZ2dgD+mwti2TJMmDChZKolIqpgdDoBXx+6gbX/3AMADGpRC/O7N4SEw86JCsXofzG1a9dGfHw8EhIS9PPsyGQyAM9WR9fpdBg3bhwsLS0xceLEkqmWiKgCUWq0mPzrZX3Y+bhTXXzVsxHDDlERGN3Ck9e8DtnZ2bh06RIyMjLg6+uLqlWrYv/+/QadmImIqPBSs9QYt+UCzt1LhEQswjd9vNG7maupyyIqt4wOPHkN5nr8+DF69OiBJ0+ewNbWFr/99hscHR2Lsz4iogrncWoWhm8Mxc24NNjKJVg9uBna1Kls6rKIyjWjm2LyauHx9PTEgwcPULt2bQwYMADNmjXDX3/9VawFEhFVJDeeKNDrx7O4GZeGKnZy/DrWn2GHqBgY3cKTkJCAGTNmGLT05Ew6KBaL8fnnn6N169Z4//33ERwcjPr16xd/tUREZuzs3QSM3XwBaUoNvKrYYtMIP9R0tDJ1WURmwejAs2DBAlhaWkIkEsHX1/fZyZJnp6enpwMAOnTogE8++QSTJ0/G4cOHS6BcIiLztO9yLKbvDIdaK8DP3QnrhzaHg7XU1GURmY1CzbR89+5dvPbaa7n2b926FRkZGTh37hy++eYbjBw5Env37oWFhUWxFluSONMyEZmCIAhY9889LDp4AwDQ9Y3qWNq3MSyl5efnJ5EpGfv9bXQLz9KlSzF//nxcv34dEokEy5Yt07fwAEBaWhq2b98OkUiEXbt2lauwQ0RkClqdgC//uo6gs9EAgBGtPDCna32IxVztnKi4GdVp+dChQ/j6669x5MgRuLq6IjExEXv37oVcLtc/XFxc8PHHHyM2NhaZmZklXTcRUbmWrdZi4raLCDobDZEImNO1Pj4LaMCwQ1RCjGrh6dSpE8LDw1G9enUAgFqthqurK+bNm1eixRERmaPkDBVGbQ7DhfvJkFmI8V2/JujqXd3UZRGZtSKtlq7VapGRkWFWfV3Yh4eISkNMUiaG/RyCe/EZsLeUYP3Q5mjh6WzqsojKrRJZLV0QBGzevBmCIDAUEBEVUkRsKnqtOot78Rmo4WCJXeNbMuwQlZJCBR6RSITAwMCSqoWIyGyduhWPfmvPISFdiXrV7LBnYiu8XtXO1GURVRhGj9LKIRaLDUZntWjRAjVr1kT16tXh6uoKV1dXvPnmm/Dy8irWQomIyqvfwmIw6/er0OoEtPZywerBzWBnyTl2iEpToVf5fHGJiUuXLqFt27aws7PDzZs3sW7dOjRo0AAXLlwotiKJiMojQRCw4thtzNh1BVqdgN5Na2LjcF+GHSITKHQLT64LSCSYPHmywb4hQ4Zg586d8PHxedXLExGVSxqtDnP3ReCXkBgAwIS3XsPHnermuS4hEZW8QgUenU5n1HENGjTA2bNni1QQEVF5l6nS4H/bL+H4jacQi4D5PRphiH9tU5dFVKEZFXhu3bqFyZMno2XLlkZdtG/fvpg4ceIrFUZEVB4lpCsxIigUVx6mwlIqxvf9m6Jjw2qmLouowjOqD8/y5ctRqVIlDB482KiLvvbaaxy2TkQVTlRCBnqvOosrD1PhZCPD9tH+DDtEZYRRLTyrVq3S/1kQBDRq1AhSqRQymQwqlQojRoxA69at0bt3bzg6OpZUrUREZdbFB8kYGRSK5Ew1ajlZY9MIP3i42Ji6LCL6T6FnWpZKpTh8+DA0Gg1SU1MRFxeHiIgI/Pnnn0hLS8PcuXPx8ccfl1S9JYYzLRNRUR29HodJv1xEtloHb1cHbBjmi8p2clOXRVQhGPv9XejAk9Oq8yKdToeNGzfik08+wXvvvYctW7YUvmoTYuAhoqLYEnwf8/ZFQCcA7etWxo+DmsFa9soDYInISCWytAQAaDQa5JWRxGIxRo0ahQsXLuD8+fOYNGlSYS9NRFRuCIKAbw7dwNy9z8JOf183rB/anGGHqIwq9LD0Tp06QalUwtLSMs9j3N3dcfToUfz777/FUiARUVmj0ugwc/cV/H4pFgAw9d3XMeltL86xQ1SGFWm1dHPEW1pEZIy0bDXGb72IM3cSYCEWYVHvN9C3uZupyyKqsIz9/i502+svv/wCS0tLWFlZwdLSMtefq1SpAisrq1cqnoioLIpTZGPYxhDceJIGa5kFVg/2QbvXK5u6LCIyQqEDz8iRI9G4cWOoVKpcD6VSibS0NCxZsoR9eIjIrNyOS8OwjSF4lJoNF1s5ggJ90aimg6nLIiIjFbrTcs2aNXHu3DlcuHABV69excWLF/Hvv/8iNjYWCQkJWLp0KdauXftKRQUFBUEkEuV6BAUFvfS8gIAAg+M7dOjwSnUQEQHA+XuJeH/1WTxKzYZnZRvsmdCSYYeonHml1dJTUlLw119/oVu3btBqtQCedVqOi4t7paIGDhyI5ORk/SMmJgYuLi5o27btS8/LCWE55+3bt++V6iAi2n/lMYZsCIEiWwOf2pWwe1xLuDlZm7osIiokowNPZGSkwXZoaCjeeOMNVKpUCc2bN8dnn30GAGjXrh1iY2NfqSiZTAZHR0f9Y/Pmzejduzc8PT3zPefhw4f6WaBzzrOx4SynRFR0P52+h//9chEqrQ6dGlbFtlEtUMlGZuqyiKgIjOrDEx8fj8aNG6N9+/ZQKpXIzs7GunXr8P3336Njx45o2bIlGjZsiLZt26JTp07FWmB2djZWrFiB8+fPv/S4kJAQaLVauLq6Ijk5GQEBAVi9ejUqVapUrPUQkfnT6QR8tT8SG/+NAgAMb+mOud0awELMYedE5ZVRLTyVK1fG06dPERgYCG9vb9SuXRtubm7o2LEjAMDW1haLFy8ukSUltm/fDn9/f7i7u7/0uFu3bsHHxweHDx9GWFgYoqOjMXv27HyPVyqVUCgUBg8iomy1FpN+uaQPO7O61MO8AIYdovKuSPPwXL9+HXPmzEG7du3w0Ucf6fenpKQU++Khfn5+mD9/Prp06VKo806dOoU+ffogPj4+z+c///xzzJ8/P9d+zsNDVHGlZqoxeksYQqKSILUQYckHjdGjSU1Tl0VEL1Fia2npdDpIpVJkZWVBKpVCJBIhPT0dXl5euH//PuTy4lsw786dO/Dz80NcXBykUmmhzg0PD0eTJk2QnZ2dZ01KpRJKpVK/rVAo4ObmxsBDVEHFpmRh2MYQ3HmaDju5BGuH+qDlay6mLouIClDsEw9u3bpVP6GgSCTC/v37DdbUql69Og4fPozu3bu/QtmGfvvtN3Tr1s2osNOnTx9Mnz4d/v7+AJ51qq5WrVq+AUwulxdrOCOi8uvao1QE/hyKp2lKVLO3RNAIX9Srxl98iMyJ0YHnxx9/1K+fJQgCvv/+e4PntVotdu3aVayB59ChQwgMDDTYp1AoYGVllSsEeXt7Y8qUKVi+fDni4+Mxd+5cTJgwodhqISLzdPp2PMZvvYh0pQZ1q9ohaIQvqjtwtngic1OkPjwWFhb6eXdy3LlzB82aNcOjR49ga2v7yoVlZWXB0dER4eHhqFevnn6/u7s7li9fjp49exocr1arMW7cOOzcuRNVqlTB0KFDMXv2bEgkxmU6rqVFVPH8fvEhZuy6Ao1OgL+nE9YOaQ4Hq8LdPici0yqxtbQEQcCYMWOg1WphYWGh3+/l5YU333wTMTExqF+/ftGqfo6VlZVBH5sc0dHReR4vlUqxYcMGbNiw4ZVfm4jMmyAIWHXyLr49fBMAENC4BpZ84A25xKKAM4movOJq6f9hCw9RxaDVCZj3RwS2Bj8AAIxt54lPOtWDmMPOicqlEmnhyczMxD///AO5XA5LS0t9x18rKys4ODjA3t6+0KOpiIhKS5bq2Rw7xyLjIBIBnwc0xLCW7qYui4hKQaECz+PHj/HBBx/gzTffhEqlglqtRnZ2NrKzs5GZmYnk5GQ4Ojpi165daN68eUnVTERUaInpSozcFIbLMSmQS8RY0b8JOjeqbuqyiKiUFLoPj6urK44cOZLv85cvX8bixYuxY8eOVyqMiKi43E/MwLCNIYhOzISjtRQ/DW2O5u5Opi6LiEqRUYEnKysL2dnZAAxXSweA5ORkrF27Fs7Ozhg9ejSaNGmCO3fuFH+lRERFEB6TghFBoUjMUMG1khWCAv3gVeXVR5ISUfli1Fpa27ZtQ+3atTFz5kyD4ejffvstatWqhb///htVq1bV7//yyy+Lv1IiokI6fiMO/dcFIzFDhUY17fH7hJYMO0QVlFGjtDQaDa5cuYL9+/dj27ZtEIvFmDp1Kjw9PeHs7IzGjRuXRq0liqO0iMzLLyEPMGdvBLQ6AW1fr4xVg5rBVl7ou/hEVMYZ+/1tVAuPRCJBs2bNMHfuXNy4cQOrV6/Gxo0boVarzSLsEJH5EAQBy47cxKzfr0KrE/CBjys2DGvOsENUwRV6Hp533nkHmZmZz04W5Z63QqPRYMiQIZg0aVLxVFhK2MJDVP6ptTrM+v0qdl14CAD48J06mNKhTp4/q4jIPBTrPDzPz6p85coV7Nq1C8Cz36R69uyJffv26bd79eqFgICAV62fiKhQ0pUaTNh2Ef/cioeFWISvejbCAL9api6LiMoIowLPvn37MGXKFPTq1QtKpRLt2rXTPyeTyQy2pVIp3N3di71QIqL8PE3LxoigUETEKmAltcCPg5ri7XpVCz6RiCoMowJPhw4dsHnzZkRERECn05V0TURERrvzNB3Dfw7Bw+QsONvIsHG4Lxq7OZq6LCIqYwrdh8fFxQXJycn6bUEQDO6PC4KAwYMHY/PmzcVXZSlgHx6i8icsOgmjNochJVMNDxcbBAX6orazjanLIqJSVGKrpd+7dw9SqRRicd4DvDQaDTsIElGJOxTxGB/uuAyVRocmbo7YMKw5nG3lpi6LiMqoQgeeglo/5HL+wCGikhX0bxTm/3UdggB0qF8VPwxoCiuZhanLIqIyzKh5eHKEhITk2peeng6dToeZM2cCAFasWIEDBw4UT3VERM/R6QQsOhCJz/98FnYG+9fCmsHNGHaIqECFCjyDBw8GAPz+++9QKpX4+uuvMXPmTERFReGPP/4A8GxEV1JSUvFXSkQVmlKjxeRfL2PtP/cAADM618WXPRpBYlGoH2NEVEEV6idFzu2qDz74AGKxGJs3b4aVlRXkcjkkEgmSkpIQERGB3r17l0ixRFQxpWapMWxjCP4IfwSJWIRlfRtjwlte7C9IREYrVB+enB8uMpkMUqkUMpkMIpEIIpEIgiBg6dKlmDRpEqytrUukWCKqeB6lZCHw51DcjEuDrVyCNYN90LqOi6nLIqJyxujAc/nyZf2f8/ut6vjx4zh9+vQrF0VEBAA3nigwfGMoniiyUcVOjp8DfdGwhoOpyyKicsioW1oLFixAv379oNVq0bt3b6jVavTu3RtRUVHYt28fQkJCkJmZif/97384efIk9uzZU9J1E5GZO3s3AR+sPocnimzUqWKLPRNbMewQUZEZFXgCAgLwzz//QCwWo2vXrvr/Ojg4wMPDAxs2bEBcXBzWrl2Lzz//HIsWLSrpuonIjO27HIthG0OQptTAz8MJu8a1RE1HK1OXRUTlmFGBx9vbG1WrVoVIJMLIkSNhYWGBkSNHwsnJCd7e3li7di08PDzQsmVLnDlzJs/h60REBREEAWtO3cVHOy5DrRXQ1bs6No/wg4O11NSlEVE5Z1TguXLlilEhJjQ0FNu3b3/looio4tHqBHz+xzUsPngDADCytQd+6N8UllLOsUNEr86owHPu3Dl06tQJd+7cwfbt26HVarF9+3YkJycjMjISt2/fhkgkQlBQEGbOnInMzMySrpuIzEi2WosJ2y5g07n7EImAOV3rY263BhCLOeyciIqHUYFn7NixuHPnDvr164fBgwfDy8sLx44dQ/v27WFpaYmYmBgAgJubG7y9vbFhw4YSLZqIzEdyhgqDfjqPw9fiIJOIsXJAM4xq42nqsojIzBg98aCzszN+/vln7Ny5E0+ePIGrq6t+e8iQIVAqlQCALl264NixYyVWMBGZj5ikTLy/5iwu3E+GvaUEW0e2QFfv6qYui4jMkEgQBKGwJ0VHR+PBgwdo27atft+DBw9Qq1YtJCcnQyaTwcbGplgLLWnGLi9PRMXj6sNUBAaFIiFdiZqOVggK9EWdqnamLouIyhljv78LvVo6ALi7u8Pd3d1gX61atZCdnY1KlSoV5ZJEVIGcvPkUE7ZdRKZKi/rV7REU6Iuq9pamLouIzFih1tI6cOAAUlNTMWXKlFzPabVaBAQEoFKlSpg6dWqxFUhE5uW3sBiM3BSGTJUWrb1c8NtYf4YdIipxRgee5cuXY/jw4YiMjMSff/6Z63kLCwvs2bMH3bt3x8aNG6FWq4u1UCIq3wRBwIpjtzFj1xVodQJ6N62JjcN9YWfJOXaIqOQZfUvL2dkZISEhcHd3h1hsmJNu3ryJ48ePY+PGjUhJScH+/fshlfKHGBE9o9HqMGdvBHaEPhvRObH9a5jesS5XOyeiUmN04ImNjcXmzZsBAAkJCRgxYgSio6Nx7do1aLVatG7dGnPmzEFAQECuQEREFVeGUoP/bb+IEzfjIRYBX/RohMH+tU1dFhFVMEYHnujoaEilUlhaWkIikcDf3x8tW7ZE27Zt8frrrwMANm3ahPT0dI5yIiIAQHyaEiM3heLKw1RYSsX4YUAzvNugqqnLIqIKyOjAs2bNGv2f9+3bhzFjxsDBwQEJCQn6/ceOHYO9vT169epVvFUSUblzLz4dw38OxYOkTDjZyPDTsOZoVoujOInINIo0LD2HVCrVz7cjCAIEQYCdnR0DD1EFd/FBMkYGhSI5U43aztYICvSDh0v5mpuLiMxLoTvb6HQ6aLVaAIBarUZGRgZUKhXUajVu3LiB3bt3Q6fTFXuhRFQ+HLn2BAPXByM5U43Grg7YPb4lww4RmVyhW3iys7P1i4Pu378fEsmzS0ydOhVSqRSffPIJdDodOy4TVUBbgu9j3r4I6ATg7XpVsHJgU1jLXqkhmYioWBQqlWRlZeHw4cOIjY3Fo0ePUKtWLTx+/BiPHj3C0KFDsW3bNshkMn0IIqKKQRAEfH3oBubufRZ2Bvi5Yd0QH4YdIiozjA48iYmJaNOmDX799VeIxWIMHDgQ7dq1Q6tWrdCqVSv07t0bFhYWmDp1Kk6cOPHKhU2aNAkikUj/8PLyKvCcU6dOoX79+nBxccGyZcteuQYiKphKo8PU38Kx+uRdAMDUd1/Hwl5vQGLBVl4iKjuM/vXr8ePH6NSpExYsWAAAsLOzQ1RUVK7jYmJi4Obm9sqFXbhwAfv370fLli0BPJvJ+WXi4+PRvXt3TJs2DQMGDED//v3RtGlTtG/f/pVrIaK8pWWrMX7rRZy5kwCJWIRFvd/AB81f/d8/EVFxK9Jq6QCwe/duvP/++8VdDwBAo9HAyckJjx49gq2trVHnLF++HGvWrEFkZCREIhH27duHnTt3YuvWrUadz9XSiQrnSWo2hv8cghtP0mAjs8CqwT5o93plU5dFRBVMsa6WrtPp0Lp1a1ha/v8Cf4Ig4Mcff8zz+KZNm2Lp0qWFLPn/XblyBYIgoEmTJoiNjUW7du2wbt061KpVK99zwsPD8fbbb+unqvfz88OsWbPyPV6pVEKpVOq3FQpFkeslqmhuxaVh+MYQPErNRmU7OX4e7otGNR1MXRYRUb6MCjxisRiffPIJ5HJ5gWvfZGVlYdCgQRg3bhzq1KlTpKIiIyPRsGFD/PDDD3BxccGHH36IsWPH4uDBg/meo1Ao0KBBA/22vb09YmNj8z1+0aJFmD9/fpHqI6rIgu8lYszmMCiyNfCsbINNgX5wc7I2dVlERC9VqFtaISEhmDlzZq5RWFqtFmq1Gtu2bYObmxs2bNiADz74oNhuDd2/fx+enp5ITk7O95r9+vVDq1at8OGHH+prsrS0zHfV9rxaeNzc3HhLi+gl/rryCFN/DYdKq4NP7Ur4aWhzVLKRmbosIqrAivWWVg4vLy/MmTMnVwdiQRCg0Wjg4uICjUaDTp06FWtocHR0hE6nw+PHj/O9rpOTE+Lj4/XbaWlpkMny/0Esl8shl8uLrUYic6LVCQiJSsLTtGxUsbOEn4cTfv43Cl/tjwQAdG5YDcv7N4Gl9OWDCYiIygqjA8/ly5cxbdq0XGEnp3Xn0KFDePjwIfr16wcPDw/s3r27yEVNnToV/v7+6Nu3LwAgNDQUYrH4paO/fH198csvvxjUW7NmzSLXQFRRHYp4jPl/Xsfj1Gz9PmuZBTJVz2ZYH97SHXO7NYCF+OW3t4mIyhKjA09qaiqsrKwwdepUpKSkwNHR0eDWlkKhQMuWLTFx4kTMmTPnlYpq0qQJPv30U1SrVg0ajQaTJk3C8OHDYW1tDYVCASsrK0ilUoNzunfvjokTJ+LEiRNo06YNlixZgk6dOr1SHUQVzaGIxxi/9SJevM+dE3Z6N6uJeQENCuzLR0RU1hTqllaNGjVQtWpVdOjQARKJBBYWFqhUqRJq1KgBHx8ffPbZZ5g0adIrFzV06FBERkaiR48e+sVIFy5cCADw9vbG8uXL0bNnT4NzXFxcsHTpUnTq1AkODg6wsbHBhg0bXrkWoopCqxMw/8/rucLO887dTYROACyYd4ionDG60/KpU6ewfv16LFq0CFqtVt/CkpSUhDt37iA8PBwbN25ErVq1sG7dOoMRU6Xpzp07iIyMRLt27QrVj4jz8FBFd+5uIgasDy7wuF9G++PN15xLoSIiooIVe6dlKysrXLx4ET169DDYr9VqkZ2djZMnT2LWrFn48ssv4e/vjxs3bqBGjRpFfwdF5OXlZdQyFERk6GladsEHFeI4IqKyxOjA4+fnh5kzZ2LAgAGQSqXIzs6GSCSCVCrFggULoFQqIZfL8dVXX6FTp04mCTtEVHRV7IwbtVjFzrLgg4iIyhijV/fbuHEjPv30U6SlpQEABg0ahE8++QSJiYm4desWGjVqhMDAQNy4cQNt2rQpsYKJqPhlqbTYdv7BS48RAaju8GyIOhFReWN04Pn333+xY8cOODk5Yd26dbh//z4WLlyIypUrY8uWLbh37x6qVKmCpk2bYsaMGSVZMxEVo9iULPRZcxZ/XXmMnJHmL/ZJztmeF8Dh6ERUPhVp8VCVSoWUlBRUqVIl13NXrlyBtbV1uetHw07LVBGFRidh/NYLSEhXwdlGhtWDfZCUocw1D091B0vMC2iAzo2qm7BaIqLcSmSm5RwymSzPsAM8GzZORGXfLyEP8Nm+CKi1AhpUt8e6oT5wrfRsTax3G1TLNdMyW3aIqDwrUuAhovJLrdXhy7+uY/O5+wCArt7V8W0fb1jL/v/HgYVYxKHnRGRWGHiIKpDEdCUmbLuI81FJEImA6R3rYsJbr3HmZCIyeww8RBXE9UcKjN4chtiULNjKJVjerwk6NKhq6rKIiEoFAw9RBXDw6mNM/S0cWWot3J2tsX5oc9SpamfqsoiISg0DD5EZ0+kELD92C98fvwMAaFPHBSsHNIODtbSAM4mIzAsDD5GZSldqMOXXyzh6PQ4AMKq1B2Z2qQeJhdHTbxERmQ0GHiIzdD8xA6M3h+FWXDpkEjEW9XoD7/u4mrosIiKTYeAhMjNnbidg4vaLSM1So4qdHGuH+KBprUqmLouIyKQYeIjMhCAI+PnfaCw4EAmtTkATN0esHeKDqvZc7JOIiIGHyAwoNVrM2ROBnRceAgDeb+aKBb0awVJqYeLKiIjKBgYeonLuqSIbY7dewKUHKRCLgE+7NsCIVu6cTJCI6DkMPETlWHhMCsZsCUOcQgkHKylWDmyKNnUqm7osIqIyh4GHqJzac+khPtl9FSqNDnWq2GL90OZwd7ExdVlERGUSAw9ROaPVCfj60A2s++ceAKBD/ar4rl9j2FlyMkEiovww8BCVI6mZakzacQn/3IoHAEx62wtTOrwOsZj9dYiIXoaBh6icuPM0DaM3X0BUQgaspBZY8kFjdPWubuqyiIjKBQYeonLg78g4fLTjMtKVGtR0tMK6oT5oWMPB1GUREZUbDDxEZZggCFh18i6WHLkJQQD8PJywelAzONvKTV0aEVG5wsBDVEZlqbSYsfsK/gx/BAAY7F8L8wIaQsrFP4mICo2Bh6gMik3JwpjNYbj2SAGJWIT5PRpiUIvapi6LiKjcYuAhKmNCo5MwfusFJKSr4Gwjw+rBPvDzcDJ1WURE5RoDD1EZ8kvIA3y2LwJqrYAG1e2xbqgPXCtZm7osIqJyj4GHqAxQa3X44s/r2BJ8HwDQ1bs6vu3jDWsZ/4kSERUH/jQlMrHEdCUmbLuI81FJEImA6R3rYsJbr3HxTyKiYsTAQ2RC1x8pMHpzGGJTsmArl2B5vybo0KCqqcsiIjI7DDxEJnLw6mNM/S0cWWot3J2tsX5oc9SpamfqsoiIzBIDD1Ep0+kELD92C98fvwMAaFPHBSsHNIODNRf/JCIqKQw8RKUoXanBlF8v4+j1OADAqNYemNmlHiScTJCIqEQx8BCVkvuJGRi9OQy34tIhk4ixqNcbeN/H1dRlERFVCAw8RKXgzO0ETNx+EalZalSxk2Pd0OZo4uZo6rKIiCoMBh6iEiQIAn7+NxoLDkRCqxPQxM0Ra4f4oKq9palLIyKqUBh4iEqIUqPFnD0R2HnhIQDg/WauWNCrESylFiaujIio4imzPSX37dsHT09PSCQStGjRApGRkQWeExAQAJFIpH906NChFColyu2pIhv91wVj54WHEIuAud0aYMkH3gw7REQmUiYDz927dxEYGIjFixcjNjYWtWvXxqhRowo878KFC7h69SqSk5ORnJyMffv2lUK1RIbCY1IQsPIMLj1IgYOVFJtG+GFkaw/OnExEZEJl8pZWZGQkFi5ciL59+wIAxo8fj86dO7/0nIcPH0IQBDRq1Kg0SiTK055LD/HJ7qtQaXSoU8UW64c2h7uLjanLIiKq8Mpk4OnWrZvB9s2bN+Hl5fXSc0JCQqDVauHq6ork5GQEBARg9erVqFSpUp7HK5VKKJVK/bZCoXj1wqnC0uoEfH3oBtb9cw8A0KF+VXzXrzHsLDmZIBFRWVAmb2k9T6VSYcmSJZgwYcJLj7t16xZ8fHxw+PBhhIWFITo6GrNnz873+EWLFsHBwUH/cHNzK+7SqYJIzVQjMChUH3Ymve2FdUN8GHaIiMoQkSAIgqmLeJkZM2bgyJEjCA0NhVRq/BfIqVOn0KdPH8THx+f5fF4tPG5ubkhNTYW9vf0r100Vw52naRi9+QKiEjJgJbXAkg8ao6t3dVOXRURUYSgUCjg4OBT4/V0mb2nlOHr0KNasWYPg4OBChR0AcHR0REJCApRKJeRyea7n5XJ5nvuJjPV3ZBw+2nEZ6UoNajpaYd1QHzSs4WDqsoiIKA9l9pbWvXv3MGjQIKxevRoNGjQo8Pg+ffogODhYvx0aGopq1aox1FCxEwQBP564g1Gbw5Cu1KCFhxP++F8rhh0iojKsTLbwZGVloVu3bujZsyd69OiB9PR0AICNjQ3S0tJgZWWVq8XH29sbU6ZMwfLlyxEfH4+5c+cW2O+HqLCyVFrM2H0Ff4Y/AgAM9q+FeQENIeXin0REZVqZ7MOzd+9e9OrVK9f+qKgovPXWW1i+fDl69uxp8Jxarca4ceOwc+dOVKlSBUOHDsXs2bMhkRiX6Yy9B0gVV2xKFsZsDsO1RwpIxCLM79EQg1rUNnVZREQVmrHf32Uy8JgCAw+9TEhUEsZvvYDEDBWcbWRYPdgHfh5Opi6LiKjCM4tOy0RlwfbzDzDvjwiotQIaVLfHuqE+cK1kbeqyiIioEBh4iPKh1urwxZ/XsSX4PgCgm3d1fNunMaxkXA+LiKi8YeAhykNiuhITtl3E+agkiETA9I51MeGt17geFhFROcXAQ/SC648UGL05DLEpWbCVS7C8XxN0aFDV1GUREdErYOAhes6Bq48x7bdwZKm1cHe2xvqhzVGnqp2pyyIiolfEwEMEQKcTsPzYLXx//A4AoE0dF6wc0AwO1lwPi4jIHDDwUIWXrtRgyq+XcfR6HABgdBsPfNK5HiScTJCIyGww8FCFdj8xA6M3h+FWXDpkEjEW9XoD7/u4mrosIiIqZgw8VGGduZ2AidsvIjVLjSp2cqwb2hxN3BxNXRYREZUABh6qcARBwMZ/o7Fg/3XoBKCJmyPWDvFBVXtLU5dGREQlhIGHKhSlRotP90Rg14WHAID3m7liQa9GsJRyMkEiInPGwEMVxlNFNsZuvYBLD1IgFgGfdm2AEa3cOZkgEVEFwMBDFUJ4TArGbAlDnEIJByspfhzYDK3ruJi6LCIiKiUMPGT2fr/4EDN/vwqVRoc6VWyxfmhzuLvYmLosIiIqRQw8ZLY0Wh2+PnQD609HAQA61K+K7/o1hp0lJxMkIqpoGHjILKVmqvG/Xy7i9O0EAMCkt70wpcPrEIvZX4eIqCJi4CGzc+dpGkZvvoCohAxYSS2w5IPG6Opd3dRlERGRCTHwkFn5OzIOH+24jHSlBjUdrbBuqA8a1nAwdVlERGRiDDxkFgRBwKqTd7HkyE0IAtDCwwmrBjWDs63c1KUREVEZwMBD5V6WSouPd4XjryuPAQCD/WthXkBDSLn4JxER/YeBh8q12JQsjNkchmuPFJCIRZjfoyEGtaht6rKIiKiMYeChckGrExASlYSnadmoYmcJPw8nXLifjPFbLyAxQwVnGxlWD/aBn4eTqUslIqIyiIGHyrxDEY8x/8/reJyard9nbylFhkoNrQ5oWMMe64Y2R01HKxNWSUREZRkDD5VphyIeY/zWixBe2K/IVgMAfGo7YutIf1jJuPgnERHlj706qczS6gTM//N6rrDzvEcp2ZBJ+NeYiIhejt8UVCYJgoC9l2MNbmPl5XFqNkKikkqpKiIiKq94S4vKBEEQcDc+HefuJeH8vUScj0pCfJrSqHOfpr08FBERETHwkEkIgoDbT9MRfC8R5+8l4XxUIhLSVQbHSMQiaHQvu6H1TBU7y5Iqk4iIzAQDD5UKnU7AradpCL77rPXmfFQSkjIMA45cIoZP7Urw93RGCw8nNKrpgA7LTuFJanae/XhEAKo5WHIoOhERFYiBh0qETifgxpO0Zy04Uc9CTkqm2uAYK6nFfwHHCS08neHt6gC5xHC01byABhi/9SJEgEHoET33vAVXQCciogIw8FCx0OoERD5W/BdwkhASlYTUrNwBp7n7sxYcf08nvFHTscARVp0bVcfqwc1yzcNTzcES8wIaoHMjroJOREQFY+ChItHqBFx/pDBowUnL1hgcYyOzQHN3J7TwdIK/pzPeqOlQpPWtOjeqjncbVMs10zJbdoiIyFgMPBVMXks0GBMcNFodrj36/xac0KgkpCkNA46tXAJf90po4ekMf09nNKphD0kxLeBpIRbhzdeci+VaRERU8TDwVCB5LdFQPZ9bQ2qtDhGxqQj+bwRVWHQy0l8IOHZyCfw8/r8Fp0H14gs4RERExYmBp4LIb4mGJ6nZGL/1In4Y2BTVHaz0LThh0UnIVGkNjrW3lMDP41n/G39PZ9Svbs/bSkREVC4w8FQAL1uiIWff/7ZfyvWcg5UULTyc/rtF5YR61RhwiIiofGLgMWOCICAhXYX9Vx4VuEQDANjKLdDaq7L+FlXdqnYQM+AQEZEZYOApQUXtIFwYgiAgPl2J+4mZiErIwP3EDEQnZiI6IQP3EzNz9bt5ma96voGeTWsWa31ERERlAQNPCSlMB+GCCIKA+DSlPshEJ/73SMjE/cQMZLzQ1+Z5IhHgbC1DwguzGuelqj2XaCAiIvNUZgNPREQEAgMDcefOHYwaNQrffPMNRKKXt46cOnUK48aNQ3x8PGbPno2pU6eWUrWGCuogvHpws1yhRxAEPE1TPhdocsLNs1DzYgfi54lFQA1HK3i42KC2szXcnW2ePVys4eZkDYlYjNZfH+cSDUREVGGVycCjVCoREBCATp06YceOHfjwww8RFBSEwMDAfM+Jj49H9+7dMW3aNAwYMAD9+/dH06ZN0b59+1Ks3LgOwp/uiUBShgoPkrL0Aed+Yiay1C8PNTUrWT0XZmzg7myN2s42cHOyyrUkw4u4RAMREVVkIkEQCl6OupTt3bsXI0aMwMOHD2FtbY3w8HBMnDgRZ86cyfec5cuXY82aNYiMjIRIJMK+ffuwc+dObN261ajXVCgUcHBwQGpqKuzt7Ytc+7m7iRiwPrhI54pFgGsla32YyWmlqe1sA7dK1gUuw1CQ4rzNRkREVBYY+/1dJlt4wsPD4e/vD2trawCAt7c3rl+/XuA5b7/9tv62l5+fH2bNmpXv8UqlEkqlUr+tUCiKoXLgaVrBo6EAoH41O/h5OP0Xbp612NR0tHrlUPMyXKKBiIgqqjIZeBQKBTw8PPTbIpEIFhYWSE5ORqVKlfI9p0GDBvpte3t7xMbG5vsaixYtwvz584uv6P9UsTOu4+9nAQ1NslQCl2ggIqKKqEyuAyCRSCCXyw32WVpaIjMz0+hzCjp+1qxZSE1N1T9iYmJevXAAfh5OqO5gifzaTER4dhuJHYSJiIhKT5kMPE5OToiPjzfYl5aWBplMZvQ5BR0vl8thb29v8CgOFmIR5gU8a2l6MfSwgzAREZFplMnA4+vri+Dg/+/4Gx0dDaVSCSen/FtFXjzn8uXLqFnTNJPodW5UHasHN0M1B8PbW9UcLPMckk5EREQlq0yO0tJoNKhRowaWLFmCoUOHYty4cYiNjcWff/4JhUIBKysrSKVSg3MSEhLg5uaGAwcOoE2bNujZsyc8PDzwww8/GPWaxTVK63mlMdMyERFRRWbs93eZDDzAs6HpAwcOhJ2dHbRaLU6dOoWGDRvC3d0dy5cvR8+ePXOds2rVKkyePBkODg6wsbHB+fPnUbVqVaNeryQCDxEREZWsch94ACA2NhZhYWFo2bIlKleubNQ5d+7cQWRkJNq1a1eo4MLAQ0REVP6YReApTQw8RERE5Y+x399lstMyERERUXFi4CEiIiKzx8BDREREZo+Bh4iIiMweAw8RERGZPQYeIiIiMnsMPERERGT2JKYuoKzImY5IoVCYuBIiIiIyVs73dkHTCjLw/CctLQ0A4ObmZuJKiIiIqLDS0tLg4OCQ7/Ocafk/Op0Ojx49gp2dHUQi4xb4VCgUcHNzQ0xMDGdnLgX8vEsXP+/Sxc+7dPHzLl0l+XkLgoC0tDTUqFEDYnH+PXXYwvMfsVgMV1fXIp1rb2/PfzCliJ936eLnXbr4eZcuft6lq6Q+75e17ORgp2UiIiIyeww8REREZPYYeF6BXC7HvHnzIJfLTV1KhcDPu3Tx8y5d/LxLFz/v0lUWPm92WiYiIiKzxxYeIiIiMnsMPERERGT2GHiIiMqAxMREnD17FgkJCaYuhcgsMfBQuZGYmAgPDw9ER0ebuhSzt2/fPnh6ekIikaBFixaIjIw0dUlmbceOHfDy8sLEiRNRq1Yt7Nixw9QlVRidO3dGUFCQqcswa5MmTYJIJNI/vLy8TFIHA08RRUREwNfXF5UqVcLHH39c4Boe9GoSEhLQrVs3hp1ScPfuXQQGBmLx4sWIjY1F7dq1MWrUKFOXZbZSUlIwadIknD59GpcuXcLatWvxySefmLqsCmHbtm04fPiwqcswexcuXMD+/fuRnJyM5ORkXLp0ySR1MPAUgVKpREBAAHx8fBAWFobr16/zN4QS1r9/f/Tv39/UZVQIkZGRWLhwIfr27YuqVati/PjxCAsLM3VZZistLQ3Lly9Ho0aNAACNGzdGcnKyiasyf0lJSZg2bRrq1q1r6lLMmkajQUREBNq2bQtHR0c4OjrCzs7OJLVwWHoR7N27FyNGjMDDhw9hbW2N8PBwTJw4EWfOnDF1aWbr3r178PT0hEgkQlRUFNzd3U1dUoWxZs0a/PDDD7h27ZqpSzF7arUaI0eOhFgs5i9RJSwwMBCWlpbIysrCW2+9heHDh5u6JLN08eJFtGvXDlWrVkVsbCzatWuHdevWoVatWqVeC1t4iiA8PBz+/v6wtrYGAHh7e+P69esmrsq8eXp6mrqECkmlUmHJkiWYMGGCqUsxe+Hh4ahatSqOHDmC5cuXm7ocs3bixAn8/fff+Prrr01ditmLjIxEw4YN8csvv+D69euQSqUYO3asSWph4CkChUIBDw8P/bZIJIKFhQWbocnszJkzB7a2thgzZoypSzF73t7e+Pvvv9GwYUMEBgaauhyzlZ2djbFjx2L16tVcNLQUDBo0CMHBwfD19YWHhwdWrlyJI0eOQKFQlHotXC29CCQSSa7psS0tLZGZmYlKlSqZqCqi4nX06FGsWbMGwcHBkEqlpi7H7IlEIjRt2hRBQUGoXbs2kpOT+fOkBHz55Zfw9fVF165dTV1KheTo6AidTofHjx+XeuBkC08RODk5IT4+3mBfWloaZDKZiSoiKl737t3DoEGDsHr1ajRo0MDU5Zi148eP4+OPP9ZvSyTPfg8Vi/njuSRs374d+/bt03eg3b59OyZMmMDbtiVk6tSp+O233/TboaGhEIvFcHNzK/Va2MJTBL6+vvjpp5/029HR0VAqlXBycjJhVUTFIysrC926dUPPnj3Ro0cPpKenAwBsbGwgEolMXJ35qVevHnr27Ik6deqgS5cumDNnDjp27AgHBwdTl2aWTp8+DY1Go9+ePn06/P392Wm5hDRp0gSffvopqlWrBo1Gg0mTJmH48OH6PrClib9CFEHbtm2RmpqKzZs3AwAWL16MDh06wMLCwsSVEb26w4cPIzIyEuvXr4ednZ3+cf/+fVOXZpZq1KiBnTt3Yvny5WjYsCEyMzOxZcsWU5dltlxdXeHu7q5/2NrawsXFBS4uLqYuzSwNHToUffr0QY8ePTB8+HB07NgR33//vUlq4bD0Itq7dy8GDhwIOzs7aLVanDp1Cg0bNjR1WURERJQHBp5XEBsbi7CwMLRs2RKVK1c2dTlERESUDwYeIiIiMnvsw0NERERmj4GHiIiIzB4DDxEREZk9Bh4iIiIyeww8REQFUKvVUKvVBR6jUqlKqSIiKiwGHiIymZCQEEilUjg5OaFevXoAgLi4OMhkMjRq1Ej/sLGxwf79+/XnqVQq6HQ6g2vNmTMH48aNM9inVquhVCpfWoODgwNOnjz50mNWrVqFypUr6yeoc3FxgVgsRqVKlfTblStXxnfffVeId09EpYlLSxCRyUilUrRq1QpBQUHo0aMHgGcL8daoUQMRERH649566y3Y2trqt3v27ImrV68azG6ekpICnU6HQ4cO6fepVCq0bNkSu3btyrcGOzu7AmdJ/+ijjzB27FhYWlrq9zk6OuLEiRNo0qQJAODOnTvw8vIy7o0TUalj4CEik3l+FfacPyuVSsTHx8Pd3V3/XFJSEjIzM/XbBw4cyHWtzz//HAkJCVi5cmWeryUIAgRByLUop0QiQVJSkn77zJkzOH36NGbNmmVwbqtWrbB48WK8++67ua59+/ZtNGzYEBcvXkSjRo0KeNdEZAoMPERUplSpUgUZGRkFHvf6668jIyNDH5QyMzMhCAL++usvAEB2djZ0Oh2ePn0KANi/fz8CAgIMWnPOnz8PADhy5Ah69OiBq1ev4oMPPsDEiRMhCIJ+sVSRSIRu3bph1KhRiIiIgJ2dnUEtixcvRsuWLRl2iMow9uEhojJj5syZqFy5Mjw9PVG9enUAgEwmQ5MmTeDh4YFJkybpj7116xZiY2MRHR2N6OhoPH36FPHx8frtJ0+e6MMOALz77rtITk6GSqXCjRs3YGlpCW9vbwDA5s2bsXr1anTp0gXr1q3DnDlzcq0M/+mnn0IikeCLL74w2B8WFoYtW7aw/w5RGcfAQ0Rlhkwmw6xZs3DixAl9y41cLsexY8cwb948yGQy/bHvvvsurK2t9Z2Gra2tYWVlpd+2t7eHv7+//ni5XA5HR0eIxWLs2bMHHTt21L/GBx98gClTpmDv3r0ICAh4aW0pKSkG+9esWYNRo0ahadOmxfxpEFFxYuAhojKjcuXK2L59O95//33Ur18fANCwYUN07twZK1euRLVq1fTHWllZYcaMGUhISEBCQgJmzJiBkSNH6rc3btwIuVye6zVUKhV++OEHjB49Wr9v5MiRqF27Nu7fv5/reKVSqR9uPnz4cKxbt87g+R9//BFff/21/tpZWVmv/kEQUbFjHx4iMhlBEHDjxg1Mnz4darUaY8eOxdixY/UtOU5OTnjy5AlkMhl0Oh2ys7P15xY03BxArttSAPD111+jevXq6NKli36fXC7H+vXr0aNHD7i7u8PHx0f/3IIFC7BixQqDDtYAoFAo0L59e4M+QSqVCm3atDEYQk9EZQNXSycik7l48SKmTp2KvXv3YtOmTZDJZNiwYQMsLCwQFhYGkUgEsViM5s2bQyQSITs7G+fOnYNMJkPDhg2RkpICKyurPK+dkZGB1157DWfOnNHv+/PPP9GvXz+cO3cOjRs3BgC4u7tj165daN68OTZu3IgPP/wQP/74I4YMGZJrRNfzHB0dcfLkSf2wdCIq29jCQ0Qm4+DggLfffhuOjo746KOPAACDBg3CmDFj0KNHDyxbtgwzZsxAcHAwli9fjlq1agEAHj58iJs3b+LGjRv5zn0THh6OY8eO6bd/++03DB48GGvXrtWHnReNGDECcrkc48ePx65du7Bnzx5IJPwxSWQO2MJDRGVCcnIyFixYgF9++QXTp0/HlClT4OzsjPj4ePz444+YNWsWGjdujD179mDhwoU4e/YsQkJCjL6+UqnE0aNH0a1bNwCAVquFVqtFjRo1cOTIETRr1kx/7N27dyGRSFC7du18r2dnZ4eTJ08a3P4iorKLgYeIyoy1a9eibdu2+g7Ltra2iIuLg42NDR49eoTTp0/D2dkZXbp0wcmTJ9GqVasiv9bp06fRvn17NGjQAP/++2+uuXUKIpFIcOrUqVeqgYhKDwMPEZU7ISEh8PPze6Vr6HQ63Lp1S7+GFxGZNwYeIiIiMnuch4eIiIjMHgMPERERmT0GHiIiIjJ7DDxERERk9hh4iIiIyOwx8BAREZHZY+AhIiIis8fAQ0RERGbv/wAQ3N3qsVxtfgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "noise_levels = [0.1, 0.5, 1, 2, 5]  # 不同的噪声水平\n",
    "mse_results = []\n",
    "\n",
    "for noise in noise_levels:\n",
    "    y_noisy = m * x + b + np.random.normal(0, noise, 200)\n",
    "    x_train, x_test, y_train, y_test = train_test_split(x, y_noisy, test_size=0.3, random_state=42)\n",
    "    model.fit(x_train.reshape(-1, 1), y_train)\n",
    "    y_pred = model.predict(x_test.reshape(-1, 1))\n",
    "    mse = mean_squared_error(y_test, y_pred)\n",
    "    mse_results.append(mse)\n",
    "    print(f\"噪声水平: {noise}, 测试集的均方误差（MSE）: {mse:.2f}\")\n",
    "\n",
    "# 绘制不同噪声水平下的MSE\n",
    "plt.plot(noise_levels, mse_results, marker='o')\n",
    "plt.xlabel('噪声水平')\n",
    "plt.ylabel('测试集的均方误差（MSE）')\n",
    "plt.title('不同噪声水平对拟合结果的影响')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "9288ab8a-2f65-4c00-8e71-fbc5c10d178b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "测试集的均方误差（MSE）: 0.76\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "# 设置随机种子以确保结果的可重复性\n",
    "np.random.seed(0)\n",
    "\n",
    "# 生成200个线性数据点\n",
    "m = 2  # 斜率\n",
    "b = 1  # 截距\n",
    "x = np.linspace(0, 10, 200)  # x值从0到10\n",
    "y = m * x + b + np.random.normal(0, 1, 200)  # y值，添加标准差为1的高斯噪声\n",
    "\n",
    "# 将数据分为训练集和测试集（70%训练，30%测试）\n",
    "x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=0.3, random_state=42)\n",
    "\n",
    "# 创建线性回归模型\n",
    "model = LinearRegression()\n",
    "\n",
    "# 在训练集上拟合模型\n",
    "model.fit(x_train.reshape(-1, 1), y_train)\n",
    "\n",
    "# 在测试集上进行预测\n",
    "y_pred = model.predict(x_test.reshape(-1, 1))\n",
    "\n",
    "# 计算测试集的均方误差（MSE）\n",
    "mse = mean_squared_error(y_test, y_pred)\n",
    "print(f\"测试集的均方误差（MSE）: {mse:.2f}\")\n",
    "\n",
    "# 绘制结果\n",
    "plt.scatter(x_train, y_train, label='训练数据')\n",
    "plt.scatter(x_test, y_test, label='测试数据')\n",
    "plt.plot(x, m * x + b, label='真实直线', color='red')\n",
    "plt.plot(x, model.predict(x.reshape(-1, 1)), label='拟合直线', color='blue')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "3a543eb8-724c-4ba0-94a7-aacac625005e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "噪声水平: 0.1, 测试集的均方误差（MSE）: 0.01\n",
      "噪声水平: 0.5, 测试集的均方误差（MSE）: 0.27\n",
      "噪声水平: 1, 测试集的均方误差（MSE）: 0.85\n",
      "噪声水平: 2, 测试集的均方误差（MSE）: 4.65\n",
      "噪声水平: 5, 测试集的均方误差（MSE）: 17.03\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "noise_levels = [0.1, 0.5, 1, 2, 5]  # 不同的噪声水平\n",
    "mse_results = []\n",
    "\n",
    "for noise in noise_levels:\n",
    "    y_noisy = m * x + b + np.random.normal(0, noise, 200)\n",
    "    x_train, x_test, y_train, y_test = train_test_split(x, y_noisy, test_size=0.3, random_state=42)\n",
    "    model.fit(x_train.reshape(-1, 1), y_train)\n",
    "    y_pred = model.predict(x_test.reshape(-1, 1))\n",
    "    mse = mean_squared_error(y_test, y_pred)\n",
    "    mse_results.append(mse)\n",
    "    print(f\"噪声水平: {noise}, 测试集的均方误差（MSE）: {mse:.2f}\")\n",
    "\n",
    "# 绘制不同噪声水平下的MSE\n",
    "plt.plot(noise_levels, mse_results, marker='o')\n",
    "plt.xlabel('噪声水平')\n",
    "plt.ylabel('测试集的均方误差（MSE）')\n",
    "plt.title('不同噪声水平对拟合结果的影响')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c9cc39b3-a62b-4ee4-bcd3-84e109d18b8b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f0205da7-cb56-4cc6-a77c-81edc9d80aef",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "f8735b01-7c92-4588-b0da-845605f95a14",
   "metadata": {},
   "source": [
    "git 提交修改\n",
    ".....\n",
    "git 提交修改（）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a40c2591-8af1-4df9-82dc-95e82b565607",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
